Demonstration constructive de l'existence de polynomes de Bernstein-Sato pour plusieurs fonctions analytiques

Details Demonstration constructive de l'existence de polynomes de Bernstein-Sato pour plusieurs fonctions analytiques Demonstration constructive de l'existence de polynomes de Bernstein-Sato pour plusieurs fonctions analytiques

2003-07-12

arxiv.org/abs/math/0307179v1

Mathematics

Rings and Algebras

in french, 16 pages, 4 figures

Scientific paper

In 1987, C. Sabbah proved the existence of Bernstein-Sato polynomials
associated with several analytic functions. The purpose of this article is to
give a more elementary and constructive proof of the result of C. Sabbah based
on the notion of the analytic Grobner fan of a D-module.

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